标题： 对单π介子交换势的Lippmann-Schwinger方程进行重正化 显示英文标题

标题： Renormalizing the Lippmann-Schwinger equation for the one pion exchange potential

摘要： 我们讨论这样一个问题：为了正确地定义一个介子交换势加上局部（δ函数）势的Lippmann-Schwinger方程，必须引入截断依赖性，这种依赖性是否可以通过适当调整各种（裸）耦合常数来消除（至其逆幂次）。 我们证明，无论是自旋单态通道还是自旋三重态通道，这种情况都是成立的。 然而，后者要求与破坏轨道角动量守恒的非局部项相关的耦合常数具有非常强的截断依赖性，以至于重整化后的振幅缺乏部分波混合。 我们认为，这表明该术语必须进行微扰处理。 显示英文摘要

摘要： We address the question whether the cut-off dependence, which has to be introduced in order to properly define the Lippmann-Schwinger equation for the one pion exchange potential plus local (delta-function) potentials, can be removed (up to inverse powers of it) by a suitable tuning of the various (bare) coupling constants. We prove that this is indeed so both for the spin singlet and for the spin triplet channels. However, the latter requires such a strong cut-off dependence of the coupling constant associated to the non-local term which breaks orbital angular momentum conservation, that the renormalized amplitude lacks from partial wave mixing. We argue that this is an indication that this term must be treated perturbatively.